Could be someone trapped in one of these logic puzzles where people have to guess the color of what they're wearing, but aren't allowed to look.
Like http://plus.maths.org/content/mathematical-mysteries-what-colour-my-hat but with shirts.
From what I can tell so far, "Est-ce que" turns a statement into a question. So "Ma chemise est verte." (My shirt is green) turns into "Est-ce que ma chemise est verte ?" (Is my shirt green?). This might not be correct but it's a rule of thumb that I've been following and it seems to work.